Results 51 to 60 of about 16,055 (246)
Mellin Transform of Dirichlet L-Functions with Primitive Character
In the paper, meromorphic continuation for the modified Mellin transform of Dirichlet L-functions with primitive character is obtained.
Aidas Balčiūnas, Darius Šiaučiūnas
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Estimates and properties of certain q-Mellin transform on generalized q-calculus theory
This paper deals with the generalized q-theory of the q-Mellin transform and its certain properties in a set of q-generalized functions. Some related q-equivalence relations, q-quotients of sequences, q-convergence definitions, and q-delta sequences are ...
Shrideh Al-Omari
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Harmonic sums and mellin transforms [PDF]
Contribution to the Proceedings of the 7th International Workshop on Deep Inelastic Scattering and QCD, DIS99, DESY-Zeuthen, April 1999; Nucl. Phys. B (Proc. Suppl.)
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ABSTRACT We have studied possible applications of a particular pseudodifferential algebra in singular analysis for the construction of fundamental solutions and Green's functions of a certain class of elliptic partial differential operators. The pseudodifferential algebra considered in the present work, comprises degenerate partial differential ...
Heinz‐Jürgen Flad +1 more
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A direct approach to the mellin transform
The authors describe a systematic historical survey of the well-known Mellin transform and present a new approach to the Mellin transform that is fully independent of Laplace or Fourier transform theory in a unified form containing basic properties and major results under natural, minimal hypotheses upon the functions involved therein. The basis of the
Butzer, Paul L., Jansche, Stefan
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Space‐Time Smoothness and Parsimony in Covariance Functions
ABSTRACT This paper challenges the trade off between computational efficiency and statistical accuracy within the framework of Gaussian space‐time processes. Under such a framework, the space‐time dependence is completely specified through the space‐time covariance function.
Tarik Faouzi +2 more
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Quantifying the Nutritional and Socio‐Ecological Dimensions of Indian Ocean Fisheries
ABSTRACT Seafood from marine fisheries, such as finfishes and invertebrates, is an important source of nutrients for billions of people globally. Seafood species vary in their micronutrient concentration, their economic value, and their vulnerability to exploitation and climate change. However, fisheries management has rarely considered the nutritional
Vania Andreoli +6 more
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Tree-level gluon amplitudes on the celestial sphere
Pasterski, Shao and Strominger have recently proposed that massless scattering amplitudes can be mapped to correlators on the celestial sphere at infinity via a Mellin transform. We apply this prescription to arbitrary n-point tree-level gluon amplitudes.
Anders Ø. Schreiber +2 more
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Correlations of the squares of the Riemann zeta function on the critical line
Abstract We compute the average of a product of two shifted squares of the Riemann zeta function on the critical line with shifts up to size T3/2−ε$T^{3/2-\varepsilon }$. We give an explicit expression for such an average and derive an approximate spectral expansion for the error term similar to Motohashi's.
Valeriya Kovaleva
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A two-dimensional limit discrete theorem for Mellin transforms of the Riemann zeta-function
In the paper two-dimensional limit theorem for the modified Mellin transform of the Riemann zeta-function is obtained.
Violeta Balinskaitė
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